Estimation of the measurement accuracy of the scalar information parameter of signal along with the multiplicative noise
V. M. Artyushenko1, V. I. Volovach2
1Technological
University, 42, Gagarin Street, Korolev, 141070, Russia
2Volga
Region State University of Service, 4, Gagarin Street, Togliatti,
445017, Russia
The paper is received on March 1, 2016
Abstract.
In the article the estimation of error
of measurement scalar information parameter of the useful signal along with the
non-Gaussian multiplicative noise is considered. To estimate the information
parameters of the signal we use the method of maximum a posteriori probability
density and lower bounds of Rao-Cramer inequality. It is shown that in general
case the impact of multiplicative noise on the useful signal leads to shift of
estimates of measured parameters. It is shown that with known distribution
parameters of the multiplicative noise we can determine the shift value and get
to an unbiased estimate. It is shown that the accuracy of the measurement of
motion parameters increases with the difference of the density of the
probability distribution of the estimated parameter and influence of
multiplicative noise of Gaussian noise.
Key
words: radar meter, multiplicative non-Gaussian
noise, displacement estimates, signal/interference
ratio, measurement error.
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